Modern medical advances might mean people could live 200 years. in 2009 the life expectancy is about 80 years. assume that due to modern advances life expectancy gains 5.1 years every decade. from 2009 in how many years would humanity achieve a life expectancy of 130 years?

In year 2107 life expectancy will be 130 years

Step-by-step explanation:

First we understand which are the things given in the question.

In every decade life expectancy gains over 5.1 years.

Current life expectancy is about 80 years.

We have to calculate in how many decades life expectancy will increase from 80 years to 130 years which means increase of 50 years.

So from unitary method we can do the calculations.

∵ 5.1 years of life expectancy increases = in one decade

∴ 1 year of life expectancy will increase in = decades

∴ 50 years of life expectancy will increase in =×50 decades

                                                               = decades

                                                              or 9.8×10 years = 98 years

Therefore 130 years life expectancy will be in in year 2009+98 years =2107

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .